Nonlinear Landau damping of high frequency waves in non-Maxwellian plasmas

doi:10.1088/1674-1056/22/11/115201

Abstract Space plasmas often possess non-Maxwellian distribution functions which have a significant effect on the plasma waves. When a laser or electron beam passes through a dense plasma, hot low density electron populations can be generated to alter the wave damping/growth rate. In this paper, we present theoretical analysis of the nonlinear Landau damping for Langmuir waves in a plasma where two electron populations are found. The results show a marked difference between the Maxwellian and non-Maxwellian instantaneous damping rates when we employ a non-Maxwellian distribution function called the generalized (r, q) distribution function, which is the generalized form of the kappa and Maxwellian distribution functions. In the limiting case of r = 0 and q→∞, it reduces to the classical Maxwellian distribution function, and when r = 0 and q→k +1, it reduces to the kappa distribution function.

Keywords: nonlinear Landau damping non-Maxwellian distribution function nonlinear Langmuir waves wave–particle interaction

Received: 11 March 2013
Revised: 28 May 2013
Accepted manuscript online:

PACS:	52.25.Dg	(Plasma kinetic equations)
	52.27.Cm	(Multicomponent and negative-ion plasmas)
	52.35.Fp	(Electrostatic waves and oscillations (e.g., ion-acoustic waves))
	52.35.Mw	(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))

Fund: Project supported by the Pakistan Science Foundation Project No. PSF/Res/P-GCU/Phys. (143), the National Natural Science Foundation of China (Grant Nos. 41074114 and 41274146), and the Specialized Research Fund for State Key Laboratories of China.

Corresponding Authors: M. N. S. Qureshi
E-mail: nouman_sarwar@yahoo.com

Cite this article:

M. N. S. Qureshi, Sumbul Sehar, J. K. Shi, H. A. Shah Nonlinear Landau damping of high frequency waves in non-Maxwellian plasmas 2013 Chin. Phys. B 22 115201

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[1]	Effect on Landau damping rates for non-Maxwellian distribution function consisting of two electron populations M. N. S. Qureshi, S. Sehar, H. A. Shah, J. B. Cao. Chin. Phys. B, 2013, 22(3): 035201.

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